find the exact value of the composite function show work
Answer:
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
Step-by-step explanation:
This function can be written as:
[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]
[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x). This implies that the denominator is the cosine of the angle whose sine is 1/(2x)
Think of a right triangle and consider the angle with this sine. Then the opposite side has length 1 and the hypotenuse has length 2x. The Pythagorean theorem then implies that the adjacent side is
[tex]\sqrt{4x^{2} -1}[/tex]
The cosine of the angle is adjacent over hypotenuse, so the cosine is
[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]
The secant is the inverse of the cosine, so the answer is
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
How many 500 mg capsules of an antibiotic are needed to provide a dose
of 25mg/kg/day for a week for a patient weighing 220lb?
Answer:
If the normal daily dose of the drug for adults is 3 mg/kg/day, administered in three ... Calculate the number of tablets to dispense to a patient weighing 147 lb. ... are needed to provide 50 mg/kg/day for 10 days for a person weighing 176 lb? 160 ... How many milliliters of an injection containing 500 mg per 25 mL
Step-by-step explanation:
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Find the product of (5ab)(2ab)
Answer:
10a²b² is the answer
Hope this helps you :)
Answer:
isnt that 10ab??
Step-by-step explanation:
Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is she right? Explain
Answer:
Maggie is incorrect.
Step-by-step explanation:
PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 before dividing.
I hope this helps!
The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work
Answer:
I think this is right thanks :)
PLEASE help me identify what type of quadrilateral this is please help ASAP
I would really appreciate it
Answer:
its c)
Step-by-step explanation:
just looked it up
What is the y-intercept of the line?
(0,1) or 1
Solution:The y-intercept of a line is the point where the graph touches the y-axis.The y-intercept is usually written as (0,b) where b stands for the y-intercept.Since the given graph touches the y-axis at (0,1), the y-intercept of the line is (0,1) or 1.Hope it helps.
Do comment if you have any query.
Find the ratio in which the point P(11, y) divides the line segment
Joining the points A(15,5) and B(9, 20). Also, find the value of y.
Answer:
ratio: 2:1
y = 15
Step-by-step explanation:
The ratio would be 15-11:11-9 = 4:2 = 2:1
This is because you can subtract the x values of the two points with 11.
To find the value of y:
Figure out the equation of the line between the two points by putting it in the form y = mx + b where m is the slope and b is the y-intercept.
To find the slope, use change in y/change in x so:
20 - 5/9-15 = 15/-6 = 5/-2 = -2.5
That means the slope is -2.5, so you have:
y = -2.5x + b
since you know the point (15, 5) is a solution, you can plug x = 15 and y = 5 into the equation:
5 = -2.5 * 15 + b
5 = -37.5 + b
b = 42.5
The equation is: y = -2.5x + 42.5
Then, plug in x = 11 into the equation:
y = -2.5*11 + 42.5
y = -27.5 + 42.5
y = 15
3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?
Answer:
$42.50
Step-by-step explanation:
15% = .15
50 x .15 = 7.5
50 - 7.5 = 42.5
7x – 3y = 25
4x+5=y
Answer:
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (−8,−27)
Equation Form: x=−8,y=−27
Tom and Katie are discussing the sequence 3n - 4
Tom says 34 is a term in the sequence.
Katie says 41 is a term in the sequence.
Answer:
only katie
Step-by-step explanation:
34 is not a term in the sequence but 41 is, so in this case, only katie is correct
will someone please help
2,3 are examples
Answer:
31, 32, 29, 31
u < 28
Step-by-step explanation:
To find if a value works for an inequality, one has to substitute in the value and simplify. If the resulting equation is true, then the value is a part of the solution set of the inequality.
When simplifying an inequality, one must follow all the same rules as simplifying an equation. The only difference is that when one multiplies or divides by a negative number one must flip the inequality sign for the inequality to remain true. In this case, this rule won't come into play.
[tex]\frac{u}{4}<7[/tex]
*4 *4
u < 28
Multiply the two polynomials and write your answer in standard form – 3x (4x - 2)
Answer:
-12x^2+6x
Step-by-step explanation:
-3x(4x-2)
-12x^2+6x
The standard form of the polynomial is -12x² +6x.
What is a polynomial?A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.
The given expression is – 3x (4x - 2)
Solving further,
–3x (4x - 2)
=-12x² +6x.
The standard form of the polynomial is -12x² +6x after multiplying – 3x (4x - 2)
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ2
pls help meh
6th grade math
Answer:
% = 50
Step-by-step explanation:
% 9
-- = --
100 18
Multiply 9 times 100, that equals 900. Divide 900 by 18, which = 50.
PLZ HELP
What can each term of the equation be multiplied by to eliminate the fractions before solving? LX 5 +27 = 5+x 2 4 16
pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in
Answer:
b) 256 inches
Step-by-step explanation:
8x5x2 = 80 (top & bottom)
8x5x2 = 80 (front & back)
8x8x2 = 128 (gross area of 2 sides)
4x4x2 =32 (delete this for side cutouts) Guessing the cutoff dimension on
left side is 4m inch.
80+80+128-32 = 256 inches
Given matrix A below, calculate det[A] twice using minors and cofactors
[tex]A = \left[\begin{array}{ccc}1&2&3\\3&4&5\\6&7&8\end{array}\right][/tex]
Pivot on:
a) row 2, and also
b) column 3
Answer:
a. 3(16-21) - 4(8-18) +5(7-12) = -15 + 40 - 25 = 0
b. 3(21-24) - 5(7-12) + 8(4-6) = -9 + 25 - 16 = 0
which expression is equivalent to 3(x-2)+2x
A. -x
B. 3x
C. 5x-2
D. 5x-6
??????????????????????
Find the ratio of x to y.
5x = 8y
Answer:
x/y = 8/5
x to y is 8/5 I hope this helps
Answer:
It's so simple in the questions.. "Find the ratio of x to y.
5x = 8y"
Step-by-step explanation:
x = y , 5x = 8y
x : y
5: 8
Its hidden in the question sometimes u just need ur mind on it.
PLEASE HELP ME ASAP ?!?
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
x=[tex]10\sqrt{2}[/tex] y=10
Step-by-step explanation:
hope this helps
Paige had 18 dollars. She spent 6 of these dollars
Answer:
It would be 18-6 = 12
Step-by-step explanation:
Answer:
C, E
Step-by-step explanation:
We are looking for 12 dollars as a result of her spending 6 of 18.
A = 24
B = -12
C = 12 CORRECT
D = -24
E = 12 CORRECT
F = -12
(-1.3x-4.5)−(−2.1x+3.6)
step by step pls
Tell whether (4, 27) is a solution of y=3x+15
Answer:
Yes
Step-by-step explanation:
We have two properties for our question :
(4, 27)
y = 3x + 15
We are being asked whether the point (4, 27) is a solution of y = 3x + 15
So how do we figure this out? Well, what we have to know first that (4, 27) represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.
y = 3x + 15
y = 27 and x = 4
27 = 3(4) + 15
27 = 12 + 15
27 = 27
Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15
Answer:
yeee
Step-by-step explanation:
Eric practice for his piano recital 3/4 hour every day last week. How many hours did Eric practice last week
Answer: 5.25
Step-by-step explanation: there are 7 days in a week so if he practiced everyday for a week he practiced 3/4 hours for 7 days straight, so 3/4 × 7= 5.25
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-3/12
Step-by-step explanation:
Which of the following situations results in an answer of 23 ? Select three that apply.
Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?
Three cats share 2 cans of tuna. How much of a can does each cat receive?
Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
Two apples are split among 3 people. How much of an apple does each person receive?
Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?
Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?
Answer:
The first, second, and fourth questions.
Step-by-step explanation:
None of these result in an answer of 23, so I'm assuming that you meant 2/3.
"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"
2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.
"Three cats share 2 cans of tuna. How much of a can does each cat receive?"
2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.
"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"
2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.
"Two apples are split among 3 people. How much of an apple does each person receive?"
Two apples split among 3 people - like the first 2 questions, this also equals 2/3.
"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"
Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.
"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"
Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.
Is -1/3(3-m) equivalent to-1+1-3 or to -1-1/3m? Explain
Answer:
−1+m/3
Step-by-step explanation:
Hope it is helpful....
Which of the following shows the numbers in order from least to greatest?
a) -1/5, -2/3, 2, 0.4
b) 2, -2/3, 0.4, -1/5
c) -2/3, 0.4, -1/5, 2
d) -2/3, -1/5, 0.4, 2
Triangle ABC was transformed to be triangle DEF using one transformation.
What transformation was performed?