Explanation is in a file
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Solve the equation for x, where x is restricted to the given interval.
Step-by-step explanation:
[tex]y = 3 \csc( \frac{x}{5} ) [/tex]
[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]
Multiply by 5 on both sides.
[tex]5 \times \frac{y}{3} = \csc(x) [/tex]
Take the inverse of cosecant or arccsc of the function.
[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]
The trigonometric equation for x, where x is restricted to the given interval is x = 5 * arccsc(y/5)
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given
y = 3 CSC(x/5) for x in given domain
y/ 3 = CSC (x/5)
CSC(x/5) = y/3
x/5 = arccsc(y/3)
x = 5* arccsc(y/3)
Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.
Learn more about trigonometry here:
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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.19 reproductions per hour. Assuming that the mean is 6.4 reproductions and the standard deviation is known to be 1.8, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
Answer right and you get brainliest
What is the area
What is the value of 3x + 5y, when x = 12 and y = 4? 24 А B В 48 C 56 D 72
Answer:
C is the answer
Step-by-step explanation:
All you have to do is plug 12 in for x and 4 in for y
3(12) + 5(4) = solve
36 + 20 = 56
Hope that helps
find the value of k if the roots
of 3x²-5x+k=0, differ by 2
By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as
3x ² - 5x + k = 3 (x - a) (x - b)
and upon expanding, we have
3x ² - 5x + k = 3x ² - (a + b) x + ab
Two polynomials are equivalent if their coefficients are equal, so
a + b = 5
ab = k
We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :
a + (a - 2) = 5
2a - 2 = 5
2a = 7
a = 7/2
Solve for b :
b = 7/2 - 2
b = 3/2
Solve for k :
k = 7/2 × 3/2 = 21/4
please help me with all i will give 40 extra points if you answer all of the question for me and brainliest plus 5 stars if the answer you put is absurd i will repo you thanks
Answer:
This one ?
Step-by-step explanation:
A box contains 6 red marbles, 10 blue marbles and 4 yellow marbles.
Which colour marble is impossible to take from the box?
red blue white yellow
Answer:
White because there is no white marble.
Step-by-step explanation:
pls answer fast this is my last assignments is giving 30 points and make the brainiest
Answer:
obama your mama she looks like joe mama
please help me! i’m so confused!!
ok
a I'm sure
14*7*8
Step-by-step explanation:
we should multiple everything
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Please help !!!!!!!!!!!!!
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
Simplify 5/8+1/2-(-6)
Answer:
5/8 +4/8 -(-6) =
9/8 + 6 =
9/8 + 48/8 =
57/8
Step-by-step explanation:
Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years
6 persent
75,000 infour year's
follow me
nice study
I think 22400 mainly because i did the calculation
12500 * .2 4 times and got that answer.
Four friends each took a different path walking from the drinking fountain to the cypress tree. Who walked the farthest?
Rowan 150yd
Janelle 429ft 8in
Domingo 130yd 2ft
Lydia 460ft
The area of Region A is the same as the area of region c true or false
Answer:
True
Step-by-step explanation:
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6
Step-by-step explanation:
Finding M:
M is the midpoint of L and P, which is given by the mean coordinates of L and P.
x for L is -3, and for P is 9. So
(-3 + 9)/2 = 6/2 = 3
Finding N:
N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So
(3 + 9)/2 = 12/2 = 6
The correct answer is given by option D.
Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks
Answer:
There's 3 pages in the book
Step-by-step explanation:
You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)
Hope this helped!
I need Help please in this problem
Answer:
Answer the question yourself and stop being lazy!
Step-by-step explanation:
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
Please help me with this
−3+5+6g=11−3g
-Aster
Answer:
g=1
Step-by-step explanation:
6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer
Answer:
g=1
Step-by-step explanation:
solved and got the same answer
A teacher has an annual income of $55,125.
The income tax the teacher has to pay is
6%. What is the amount of income tax in
dollars and cents that the teacher has to
pay?
FOR BRAINLIST!!
Answer:
A - 3307,50
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.
Answer:
X= $3.99
Step-by-step explanation:
X is the value of each book
Answer:
x=3.99
Step-by-step explanation:
3x + 1.5= 13.47
3x + 1.5 - 1.5 = 13.47 - 1.5
3x = 11.97
3x/3 = 11.97/3
HOPE THIS HELPSSS
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
Its A
Step-by-step explanation:
Standard equation: y=mx+b
x+y=0
-x -x
y=-x+0
complete the inequality statement
4/13 __6/13
Proving triangles similar
Answer:
x=11
Step-by-step explanation:
You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
what are the real solutions to the equation 5x2 + 29x + 20 = 0?
Answer:Solutions are: x = -5, x = -4/5.
Step-by-step explanation:
Answer: -30/29
Step-by-step explanation: Let's solve your equation step-by-step.
(5)(2)+29x+20=0
Step 1: Simplify both sides of the equation.
(5)(2)+29x+20=0
10+29x+20=0
(29x)+(10+20)=0(Combine Like Terms)
29x+30=0
29x+30=0
Step 2: Subtract 30 from both sides.
29x+30−30=0−30
29x=−30
Step 3: Divide both sides by 29.
29x/29=-30/29
Find a equivalent for 24/100
Answer:
Step-by-step explanation:
Divide the numerator and denominator by 2.
[tex]\frac{24}{100}=\frac{12}{50}[/tex]
To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number
2344x24553 math question please answer
Answer:
57552232
Step-by-step explanation: