Answer:
x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Step-by-step explanation:
Solve for x:
a^(20 - 2 x) = a^12
Take reciprocals of both sides:
a^(2 x - 20) = 1/a^12
Take the logarithm base a of both sides:
2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Add 20 to both sides:
2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Divide both sides by 2:
Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
I need some help on this math question. Please explain how you found the answer too!
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answer:
answer in picture
c, b, d
Step-by-step explanation:
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
Perform the operation and, if possible, simplify
21/20 - 4/15
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
#SPJ2
Choose the graphs that indicate equations with no solution
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
PLEASE HELP ME
Solve:
24t = 72
OA) t= 3
OB) t= 4
OC) t=- 2/1
OD) t= 1/3
Answer:
t =3
Step-by-step explanation:
24t = 72
Divide each side by 24
24t/24 = 72/24
t=3
Answer:
A
Step-by-step explanation:
24 t = 72
divide both sides by 24
Thus, t = 72/24
t = 3
Bye ! :-)
How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?
Answer:
10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers
Step-by-step explanation:
hope it works.
Solve the following equations for x,
if 0 ≤ x ≤ 2π.
i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0
help me solve pls
(i) 3 csc²(x) - 4 = 0
3 csc²(x) = 4
csc²(x) = 4/3
sin²(x) = 3/4
sin(x) = ± √3/2
x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ
where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.
In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.
(ii) 4 cos²(x) + 2 cos(x) - 2 = 0
2 cos²(x) + cos(x) - 1 = 0
(2 cos(x) - 1) (cos(x) + 1) = 0
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ
[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ
For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.
PLEASE HELP!
WILL MARK BRAINLIEST!!!
If AC=12cm, what is the area sector ACB to the nearest whole number?
Thank you! Multiple choice!
Answer:
38
Step-by-step explanation:
Have a nice day :)
sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?
Answer:
592 Votes
Step-by-step explanation:
According to the Question,
Given That, a sample of 178 students was surveyed one week prior to the election for student body president Regarding their choice of three candidates.The table below shows the results of the survey.A B С
Candidates Votes 67 57 54
And, There are 1571 students in the school.
So, The Total votes can candidate 'A' expect to Receive is⇒(1571/178)×67
⇒591.33 ≈ 592 Votes(Approximately)
Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
Can someone help me with this question please..
Answer:
The answer is (3 ,5)
Step-by-step explanation:
Please give brainliest!!!
Answer:
(3,5)
Step-by-step explanation:
order pair of A is (3,5)
3 is x component.
5 is y component.
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation:
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
If 8 x - 4 = 6 - 3 x then x =
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
help pls? asap. pls and ty :)
Answer:
a
Step-by-step explanation:
1/2x-30aaaaaaaaaaaaaaaa
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
A: a gain of $0.45
B: a gain of $0.55
C: a loss of $0.55
D: a loss of $0.45
===============================================
Explanation:
Let x be the net winnings the customer gets
Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.
The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize
Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95
The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.
This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.
Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.
----------------
Here's another way to see why this works:
The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
How many plants are shorter than 27 inches?
Solve the 5 questions!!!
Answer:
What is the answer you're looking for?
Step-by-step explanation:
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
is 2(9x) and 18x
Equivalent?
Explain why
- b/0.1 +2.9= -35.1 no links or anything just the answer
Answer:
b = 3.8
Step-by-step explanation:
- b/0.1 +2.9= -35.1
Subtract 2.9 from each side
- b/0.1 +2.9-2.9= -35.1-2.9
-b/.1 = -38
Multiply each side by -.1
-b/.1 * (-.1) = -38 *(-.1)
b = 3.8
Which expression is equivalent to square root 343x^9y^12z^6?
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
