Answer:
x = 3
Step-by-step explanation:
2 + 3x = 11
3x = 11 - 2
3x = 9 (divide both sides by 3 to get x)
3x/3 = 9/3
x = 3
In the given exponential equations: [tex]2^3x[/tex] = 11, the value of x is [tex]\frac{log_211}{3}[/tex].
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Equations can be classified based on their degree, which corresponds to the highest power of the variables involved. For example, linear equations have a degree of 1, quadratic equations have a degree of 2, and so on.
Given the equation:
[tex]2^3^x[/tex] = 11
Take the logarithm of both sides,
log [tex]2^3^x[/tex] = log 11
3x log2 = log 11
3x = [tex]\frac{log 11}{log2}[/tex]
3x = [tex]log_211[/tex]
x = [tex]\frac{log_211}{3}[/tex].
So, the value of x is [tex]\frac{log_211}{3}[/tex].
Learn more about Equations here:
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What are the key features of a Quadratic function? Give two ways you can solve Quadratic equations.
Answer:
1.Formula method(almighty formula）
2.Completing the square method
Step-by-step explanation:
Key features are:
1.They have coefficients
2.Roots
Giving 12 points, need help urgently
Answer:
-2 -1 0 1 are the only integer solutions
Answer:
{-2, - 1, 0, 1}
Step-by-step explanation:
The integer solutions will be {-2, - 1, 0, 1}
What is the result of adding these two equations?
5x - y = 6
- 2x + y = 8
Answer:
x=14/3
Step-by-step explanation:
5x-y=6
+ -2x+y=8
----------------
5x+(-2x)-y+y=6+8
5x-2x-y+y=6+8
3x=14
x=14/3
I apologize if something is incorrect, please me know how to fix it. Thank you!
Answer:
3x=14
Step-by-step explanation:
i did it on khan lol
2) Apply the distributive property to solve the following.
(15 + 12) - 5
Answer:
Answer:
22
Step-by-step explanation:
15+12=27
27-5=22
A salesperson sells $2,500 in merchandise and earns a commission of $300. What is the commission rate as a percentage?
please help i will give you extra points
Required informationSkip to questionNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Find the sum and product of each of these pairs of numbers. Express your answers as base 3 expansions.The sum of the numbers (20001)3 and (1112)3 is ( )3 and their product is ( )3.
Answer:
The answer is " [tex](21120)_3[/tex] and [tex](100011112)_3[/tex]"
Step-by-step explanation:
Calculating the sum:
[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]
[tex]\to a+b = 20001+1112[/tex] // 163+41=204
[tex]=(21120)_3[/tex]
Explanation:
In the addition, first convert the given value (a,b) into decimal point that is (163, 41) and by adding its value is equal to (204) and after convert its value is equal to [tex](21120)_3[/tex].
Calculating the product:
[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]
[tex]\to a*b = 20001*1112[/tex] // 163 *41=6,683
[tex]=(100011112)_3[/tex]
Explanation:
In the product calculation we convert the given value (a,b) into decimal point that is (163, 41) and multiplting its value which is equal to (6,683) and after convert its value is equal to [tex](100011112)_3[/tex].
I NEED THE ANSWER FAST PLEASE! The measures of the angles of a triangle are shown in thr figure below. Solve for x.
Answer:
4x + (5x+18) = 180-81=99
9x+18=99
9x=99-18=81
x=9
Step-by-step explanation:
Hurry I need this answer
Answer: I am here to help and save the day....
Step-by-step explanation:
I hope I helped have a great day bye.
Eric has $25 to purchase magazines and to pay for his lunch. Each
magazine costs $4 and his lunch costs $15. Which inequality can be used
to determine how many magazines, m, Eric can buy?
A. 4m - 15 > 25
B. 4m - 15 < 25
C. 4m + 15 > 25
D. 4m + 15 = 25
Answer:
B
Step-by-step explanation:
The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.
The appropriate inequality sign would be less than since he cannot spend more than $25.
Also, the amount he can spend on magazines would be what is left after paying for lunch.
So the correct inequality is 4m - 15 < 25
On Tuesday morning Cody went to the gym and worked out for 1 3/5 hours
A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?
a 32
b 16
c 8
d 10
Answer:
I think the answer is 16 option b
if 6/11 of sum of money is 5400. find 7/9 of the same sum
Step-by-step explanation:
first u need to find the sum of the money then u can find the answer . u can check the picture above. i hope this help u
Find the distance between the points (-7, -9) and (9, -9).
Answer:
may be the answer is (16,-9)
10. Find the volume of the prism.
3 ft
7 ft
2 ft
SOMEONE PLEASE HELP EVEN IF ITS JUST WHAT YOU THINK PLEAE
look at picture for answer will mark BRAINILEST
solve 2x = 1/32
1/5
5
-5
The data set below represents
the high temperature of 10
cities on a certain day:
{68, 73, 95, 81, 85,
90, 77, 84, 75, 92}
What is the mean?
Ms. Guel
Mr. Le
A) 85
B) 86
C) 83
D) 80
E) 82
Mr. Stauffer
Mrs. Emrey
Ms. Fiala
Gina Wilson Athias Abrol. 2014
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
Answer:
A. 0.2734 = 27.34% probability that there are an equal number of boys and girls
B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Step-by-step explanation:
In each of these questions, the binomial probability distribution is used.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
8 children means that [tex]n = 8[/tex]
Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]
0.2734 = 27.34% probability that there are an equal number of boys and girls
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
80% accurracy rate means that [tex]p = 0.8[/tex]
7 questions means that [tex]n = 7[/tex]
The probability is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]
0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Please help me I don’t get it
Answer:
The number is 4
Step-by-step explanation:
We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.
(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.
Thus we get the equation and solve:
5(x-7)= -15 (distributive property)
5x-35= -15 (add 35 to both sides)
5x=20 (divide by 5)
x=4; so the number is 4
how do i find the probability of getting a red 5 or a 6 when one card is randomly selected from an ordinary deck?
Answer:
2 in 52 simplified- 1 in 26
Step-by-step explanation:
Please help asap easy question just very stuck and due
Answer: z=115 x=6
Explanation: 14x-19 + 115 = 180
115 = z
A rectangular garden plot has an area of 36 ft. 2. If the width of the plot is 4ft, what is the length?
9ft
12ft
18ft
4ft
Answer:
I think it should be 9 because 9x4 is 36
Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
dimes than quarters, and 8 fewer nickels than twice the number of quarters. The total
amount he has saved is $17.00. What number of each kind of coin he has
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
I need help ASAP, find the area of the trapezoid below
Answer:
28.
Step-by-step explanation:
Area = 1/2 ( 6 + 8) * 4
= 7 * 4
= 28.
Factorise the following.
Answer:
x⁴ - y⁴= (x²)²- (y²)² = (x² + y²)(x²- y²) = (x²+y²)(x)²-(y)²=(x²+y²)(x+y)(x-y)
49x²-16/25= (7x)²- (4/5)²=(7x+4/5)(7x-4/5)
Answer:
(7x + 4/5)(7x - 4/5)
Step-by-step explanation:
iv. 49x² - 16/25
= (7x)² - (4/5)²
= (7x + 4/5)(7x - 4/5)
A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the
solution, how much of it is acid?
Answer:
14% od 2 gallons
Step-by-step explanation:
hope this helped also is this blue sign showing up saying something out exam mode?
Please look at the picture and explain how you got your answer thank you
Answer:
4 pounds of candy
Step-by-step explanation:
2/3 pounds of candy each
6 bags
2/3 or 0.6 × 6 bags = 4 pounds
please show your work:
A crew of highway workers paved 3/15 miles in 15 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
a. 3/225
b. 4/5
c. 3/5
d. 1/20
Answer:
b . 4/5
60 :15 minute : 4
3 /15 x 4 = 12/15 = 4/5
