Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
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I NEED HELP WITH THIS PICTURE IS PROVIDED
Johnny has 12 action figures and wants to choose
5 of them to arrange on his desk. How many
possible arrangements can he create?
Answer:
2
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Consider functions f and g.
Evaluate the function composition.
Answer:
I think answer wil me
find by multiple of that f.g
Answer:
Answer = 1 (Plato)
Step-by-step explanation:
will someone plz do this question
Answer:
the answer is a your welcome
Edwin's dog eats 1/3 of a pound of food each day. Edwin has a bag containing 2 1/3 pounds of dog food. How many days will the bag feed Edwin's dog?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 days
Step-by-step explanation:
Help me please!!
You’re solid
4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?
Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank)
Polyhedron 1: Solid:_____
Number: _____
Solid:_____
Number: _____
Polyhedron 2: Solid:_____
Number: _____
Solid:_____
Number: _____
The question is incomplete without the diagram.
Answer:
Icosahedron + Tetrahedron
Octahedron +Tetrahedron
Step-by-step explanation:
Polyhedron 1: Solid:_Icosahedron__ Number: __1___
Solid:_Tetrahedron____ Number: _20____
Polyhedron 2: Solid:___Octahedron__ Number: __1___
Solid:__Tetrahedron___ Number: __8___
Answer: c
Step-by-step explanation:
Please help please I beg you if you love puppy’s puppy eyes please
The answer is the one that would be D is the choices were lettered: Moving the decimal point one place to the left makes the number 1/10 of its original value.
FOR EDG!! It is not 2,3, & 5!!
Which data collections show bias? Check all that apply.
1) An English teacher polls the top-ten most avid readers to find their favorite books.
2) An insurance company polls drivers of sports cars to find their average number of tickets.
3.) A restaurant manager surveys every tenth customer for one week.
4.) An assistant principal surveys each student who is sent for discipline.
5.) A fundraiser organizer draws five names from a hat that contains all entries.
Answer:
An assistant principal surveys each student who is sent for discipline
Answer: ITS A.), B.) and D.).
3x + 4y =12
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
I hope this helps!
Answer:
-3/4Step-by-step explanation:
Given3x + 4y = 12To findSlope of the lineSolutionConverting the equation into slop-intercept form:
3x + 4y = 124y = -3x + 124y/4 = -3x/4 + 12/4y = -3/4x + 3Slope is -3/4
HELLLLLLLLLLLLLLLLLLLPPPPPPPPPP
Answer:
The answer is: 2 * 8n * 8n * 8n * 8n
Step-by-step explanation:
Calculate the probability that a life aged 0 will die between ages 19 and 36, given the survival function
Answer:
Question: **Actuarial Mathematics, Survival Models** Calculate The Probability That A Life Aged 0 Will Die Between Ages 19 And 36, Given The Survival Function S0(x) = (1/10), 0 X 100 Answer: 0.1.
Step-by-step explanation:
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m=-3?
Check all that apply.
Answer:
A,B, AND C
Step-by-step explanation:
A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee
Answer:
1.3245
Step-by-step explanation:
2900 people attended a basketball game. 1769 of the people attending supported the home team, while 1131 supported the visiting team. What percentage of people attending supported the home team?
The percentage of people attending supported the home team will be 39%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
2900 individuals went to a b-ball game. 1769 individuals going to upheld the host group, while 1131 upheld the opposing group.
The percentage is given as,
P = (1131 / 2900) x 100
P = 0.39 x 100
P = 39%
The percentage of people attending supported the home team will be 39%.
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helllppp meee please
Answer:
2, 3, 6, 7
Step-by-step explanation:
Solve for a.
5a2=980
Enter your answers in the boxes.
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic
Answer:
No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.
Please help me ASAP. !
Step-by-step explanation:
distance must positive
so, 25-12
=13
A florist sells a dozen long-stemmed red roses for $54.99. In honor of their 16th wedding anniversary, a man wants to buy 20 roses for his wife. (Hint: How many roses are in one dozen?)
Let c represent the cost of 20 roses. Write a proportion, in terms of c, that can be used to solve for the cost of 20 roses.
What will the roses cost (in dollars)?
Answer:
20 roses cost $91.65
Step-by-step explanation:
Given
1 dozen rose = $54.99
Required
Determine the cost of 20 roses
To calculate the proportion, we make use of:
[tex]c = kx[/tex]
Where
c = cost
k = constant of proportionality
x = number of roses
For a dozen rose
[tex]c = 54.99[/tex] and [tex]x = 12[/tex]
So:
[tex]c = kx[/tex]
[tex]54.99 = k * 12[/tex]
[tex]54.99 = 12k[/tex]
[tex]k = \frac{54.99}{12}[/tex]
[tex]k = 4.5825[/tex]
For 20 roses
[tex]c = kx[/tex]
Where
[tex]k = 4.5825[/tex]
[tex]x = 20[/tex]
[tex]c = 4.5825 * 20[/tex]
[tex]c = 91.65[/tex]
Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answer:
kj gfbdhngfbd
Step-by-step explanation:
Solve x2 = 144
A) x = ±12
B) x = ±72
C) x = ±288
D) x = ±20,736
Answer:
A
Step-by-step explanation:
An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.
Answer:
She paid $67692.31 for the house originally.
Step-by-step explanation:
Let the initial cost of the house be [tex]x[/tex] dollars.
Given:
Selling price of the house (S.P) = $88000
Profit made = 30% of 'x' = [tex]0.30x[/tex]
We know that,
Profit = Selling Price - Original price
[tex]0.30x = 88000 - x[/tex]
Adding [tex]x[/tex] on both sides, we get:
[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]
Dividing both sides by 1.3, we get:
[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]
Rounding to 2 decimal places, we get:
[tex]x=\$67692.31[/tex]
Therefore, she paid $67692.31 for the house originally.
ann's ribbon was 3/5 m long. Xinyi's ribbon was 3/4 m longer than ann's ribbon. What was the length of xinyi's ribbon?
Answer:
[tex]1\frac{7}{20}[/tex] m
Step-by-step explanation:
[tex]\frac{3}{5} + \frac{3}{4}[/tex] = [tex]1\frac{7}{20}[/tex] m
Max can stuff 11 envelopes per minute. Jennifer can stuff 3 envelopes every 15 seconds. Joyce can stuff 650 envelopes in one hour. Who can stuff the envelopes at a faster rate?
The Answer:
The Step-by-step explanation:
Please help me no one answers my last few questions
#6
Answer:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]
To find: [tex][f(x)]^2-g(x)[/tex]
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]
Now subtracting g(x) from [f(x)]^2
[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]
Combining alike terms
[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Hence,
Subtracting g(x) from the square of f(x) gives us:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
x + -19 = 25 plsssss
Answer:
44
Step-by-step explanation:
X + -19 = 25
X-19=25
X=25+19
X=44
So the answer is 44
What are the subsets of the set {2, 5}?
a. {2}, {5}, {2,5}
b. { }, {2}, {5}, {2,5}
c. {0,2,5}
d. ∅, {5}, {2,5}
Answer:
the answer is b.........
Solve for x and verify:3(x+3)-2(x-1)=5(x-5)
Answer:
x=9
Step-by-step explanation:
Distribute:
3x+9-2x+2=5x-25
Combine like terms:
x+11=5x-25
Solve:
x-x+11=5x-x-25
11=4x-25
11+25=4x-25+25
36=4x
Divide by 9:
x=9.
Hope this helps :D
Answer:
x = 9
Step-by-step explanation:
Step 1: Solve both sides by distributing the values.
3x+9-2x+2 = 5x-25
Step 2: Put the like terms together.
3x-2x-5x = -25-9-2
-4x = -36
Step 3: Divide both sides by -4 to get the value of x.
[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]
x = 9
Let's verify the answer.
3x+9-2x+2 = 5x-25
3(9)+9-2(9)+2 = 5(9)-25
27+9-18+2=45-25
20 = 20
Write a problem in which $180 would be a reasonable answer
Answer: Word problem: Mya goes to a carnival and buys food for her and her friends. She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.
Regular problem: $20+$15+$20+$100+$25=180
Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.