Answers
Hello!:
Let's take this problem in steps:
[tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]
Now we need to find the value of sin(x) and cos(x) where the value becomes zero:
--> and it so happens to be:
[tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]
Thus:
[tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]
Answer: (B)
Related Questions
HELPPP ASAP ( Please include full sentences)
Answers
Answer: The graph is NOT [tex]\text{y} > 3\text{x}-4[/tex]
Explanation:
The inequality of [tex]\text{y} > 3\text{x}-4[/tex] has the boundary equation [tex]\text{y} = 3\text{x}-4[/tex]
That equation is in the format [tex]\text{y} = m\text{x}+b[/tex] which is slope-intercept form.
m = 3 = slope
b = -4 = y intercept
The positive slope indicates the boundary line goes uphill when moving to the right. However, the graph shows the complete opposite with the line going downhill. This means that the graph cannot possibly be [tex]\text{y} > 3\text{x}-4[/tex]
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) Group of answer choices 2 was not multiplied by x 2 was not multiplied by 5 Incorrect sign was used for the first term Incorrect sign was used for the second term
Answers
Answer:
2 was not multiplied by 5
Step-by-step explanation:
2(x + 5) = 2x + 5
The correct expansion form distributive property should be :
2(x + 5) = 2*x + 2*5 = 2x + 10
2(x + 5) = 2x + 10
What are the 3 possible solutions when solving a system of equations?
Answers
Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
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Please hurry, it's due in two days
Answers
Answer:
C (3, -2) is in the Fourth Quadrant.
The equation of the line is Y=2
The Line x=-1 would be a straight vertical line on the point x=-1.
Step-by-step explanation:
I have attached three pictures, one of all the quadrants labeled for you to help in the future, one of a visual of y=2 with the points labeled, and one of a visual of the line x = -1.
ttwo sides of a parallelogram are 390 feet and 350 feet. the measure of the angle between these sides is 52. find the area of the parallelogram to the nearest square foot.
Answers
Answer:
107,564feet
Step-by-step explanation:
Area of a parallelogram = absin theta
a and b are the measure of its sides
theta is the angle between the sides
Substitute
Area of a parallelogram = 390*350sin52
Area of a parallelogram = 390 * 275.8037
Area of a parallelogram = 107,563.467sq. feet
Hence the area of the parallelogram to the nearest feet is 107,564feet
23. Factor each polynomial completely.
a. 5a²c-3a²d + 5b²c3b²d
b. x2 + 6x" +9
Answers
Step-by-step explanation:
a. 5a²c-3a²d + 5b²c3b²d l can't this question but l can calculate a. 5a²c-3a²d + 5b²c-3b²d.
I this your question is a little worng.
Answer correctly for brainly
Answers
Answer:
graph D. it shows how much has you have at the beginning and ascends down to what you have left at 500
Answer:
Graph D
Step-by-step explanation:
With the other graphs, the information is too spread out or confusing. Graph D sums it up properly and makes it easy to read and understand.
Terms nd coefficients and constants of 6+n2 + 1/2d
Answers
The constant is 6
If you meant 2n instead of “n2”, then the 2 next to the n is also a coefficient
HELPPP!!!!
Option A: You are given $100 on the first day and then receive $10 each day for the month of February.
Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.
Write a function rule to represent the total amount earned with Option A.
Write a function rule to represent the amount of money you will have earned with Option B.
Answers
Answer:
For Option A, the function rule would be:
totalAmountEarned(days) = 100 + 10*days
For Option B, the function rule would be:
totalAmountEarned(days) = 2^days
Step-by-step explanation:
What is the value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule?
Answers
The value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule is -13/5.
The general formula for Cramer's rule is
DX = detX/detA
Where detX is the determinant of the matrix formed by replacing the x-column of the original matrix with the constant column vector, and detA is the determinant of the original matrix.
For the given equations,
A = [3, 2; 7, 4]
X = [-11; -9]
Therefore,
detA = 3*4 - 2*7 = -10
detX = 3*(-9) - 2*(-11) = 13
Hence, DX = detX/detA = 13/-10 = -13/5
The value of DX for solving simultaneous
3x 2y =- 11 and 7x 4y 9 by Cramer's rule equation is -13/5.
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4(x+1)m divided by 2
Answers
Answer:
4(x+1)m/2= 2(x+1)m
Step-by-step explanation:
can i have brainliest please
The 19th and 15th terms of an AP are- 5 and -7 1/2, respectively. What is the sum of the first 20 terms.
Answers
The sum of the first 20 terms of the sequence is - 206.25
What is an Arithmetic Progression?Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence. For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an Arithmetic Progression, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 -1). Even in the case of odd numbers and even numbers, we can see the common difference between two successive terms will be equal to 2
a + 18d = - 5
a + 14d = -7 1/2
---------------------
4d = -5 + 15/2
8d = -10 + 15
8d = 5
d = 5/8
a + 18(5/8) = -5
8a + 90 = -40
8a = -40 - 90
8a = -130
a = -130/8
The sum of the first 20 will be;
Sum = (20/2) (2(-130/8) + (20-1)(5/8))
Sum = 10 (-260/8 + 95/8)
Sum = 10 (-165/8)
Sum = - 206.25
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1. Harry invested Nu 3200 in an
account for four years. The value of
the investment at the end of four years
was Nu 4000. Determine the rate of
simple interest that was earned.
Answers
The formula for simple interest is I=PRT, where I = interest earned, P = principal amount invested/borrowed, R = rate as a decimal, and T = time in years.
In order to find the rate, we need to know the interest earned. So we’ll subtract the information given to find what the interest earned was: 4000-3200 = 800
I = PRT
800= (3200)(r)(4)
800= 12,800r
r = 0.0625
Multiply by 100 to get percentage
r = 6.25%
Please let me know if you have questions about this answer.
Why will the speedup of a parallel algorithm will eventually reach some limit?
Answers
The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.
What is a parallel algorithm's speedup factor?The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.
The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.
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please help me ??????
Answers
Answer:
201.06
Step-by-step explanation:
for future questions like this, look up on "what is the surface area of a sphere calculator"
Answer:
200.96- the first one is right
201.06- if u round it
Step-by-step explanation:
How to solve a function?
Answers
To solve a function, you must determine the value of the function for a given input. This requires finding the equation for the function and then plugging in the given input to find the output. For example, if the function is f(x) = x2 + 2x - 5, and the given input is 3, then the output of the function is f(3) = 12.
1. Substitute the given input, x = 3, into the equation.
2. Simplify the equation: f(3) = 32 + 2(3) - 5
3. Solve the equation: f(3) = 9 + 6 - 5
4. Simplify the equation: f(3) = 12
5. Therefore, the output of the function is f(3) = 12.
To solve a given function, you must first determine the equation for the function. Then, you must substitute the given input into the equation and solve it. In this example, the given input was 3 and the equation for the function was f(x) = x2 + 2x - 5. After plugging in the input of 3, the equation was simplified to f(3) = 9 + 6 - 5, which was further simplified to f(3) = 12. Therefore, the output of the function is f(3) = 12.
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Answer:
do it
Step-by-step explanation:
Write the ratio in simplest form in both fractions and in decimal form.
3 to 12
Write the ratio in simplest form in both fractions and in decimal form.
4:64
Answers
Answer:
Step-by-step explanation:
3 : 12
Both have table of 3 in common so
1 : 4 or 1/4
4 : 64
Both have table of 4 in common
1 : 16 or 1/16
Answer:
Fraction form for number 1: 1/4
Decimal form for number 1: 0.25
Fraction form for number 2: 1/16
Decimal form for number 2: 0.0625
Step-by-step explanation:
For the fraction form for number one, all we have to do is change 3:12 to 3/12. Then we just simplify. 1/4. The decimal for 1/4 is just .25, or one quarter.
For the second one, we need to change 4:64 into 4/64. Then we simplify to 1/16. The decimal is a little bit trickier but it comes out to 0.0625.
You're done!
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A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $31.00 per square meter. How much will the chalkboard cost?
Answers
Answer:
62$
Step-by-step explanation:
Board in square meters = 2×1 = 2 m²
Cost per square meter = $31.00
Total cost = 31×2 = $62.00
Answer:
The cost of the chalkboard is $27.74
Step-by-step explanation:
right!!
You are graphing Square ABCD in the coordinate plane. The following are three of the vertices of the square. A4,-7), B(8,-7), and C(8, -3). What are the coordinates of point D?
Answers
Find the value of StartFraction P (t) Over A EndFraction for this problem. StartFraction P (t) Over A EndFraction
Answers
The value of StartFraction P (t) Over A EndFraction for this problem will be 20
Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.
The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.
A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.
adding 3 to the formula:
6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.
6/x + 2x^2,
when x = 3
=20
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The question the incomplete the full question:
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
Answer:
The second part is 0.8 and B. About 1,845 years.
Step-by-step explanation:
:)
find the number that makes the ratio equivalent to 1:8
Answers
Answer:
2:16
Step-by-step explanation:
maybe i don't know im not smart but that is the ratio equalivent i guess i have to make this 20 words long soooo
Answer:
To find the number that makes the ratio equivalent to 1:8, we need to set up the ratio as a fraction and solve for the missing value.
The ratio 1:8 can be written as the fraction 1/8. In this case, the missing value is the numerator (1) and the known value is the denominator (8). To solve for the missing value, we can multiply both the numerator and denominator by the same value.
For example, if we multiply both the numerator and denominator by 2, we have:
1/8 = (12)/(82) = 2/16
If we multiply both the numerator and denominator by 4, we have:
1/8 = (14)/(84) = 4/32
If we multiply both the numerator and denominator by 5, we have:
1/8 = (15)/(85) = 5/40
In each of these cases, the ratio is still equivalent to 1:8, but the missing value (the numerator) is different. In general, we can multiply the numerator and denominator by any value to find the missing number that makes the ratio equivalent to 1:8.
For example, if we multiply both the numerator and denominator by 10, we have:
1/8 = (110)/(810) = 10/80
In this case, the missing value (the numerator) is 10, which makes the ratio equivalent to 1:8.
Step-by-step explanation:
What is the area of a circular pool with a diameter of 18 feet? Use 3.14 for
pi and round your answer to the nearest hundredth.
Answers
Answer:
254.34 ft^2
Step-by-step explanation:
A=1/4(3.14)d^2= 1/4(3.14)(8)^2= 254.34 ft^2
Estimate the radius of the object. Round to the nearest hundredth if necessary. (Don’t guess please).
Answers
Answer:
13.98 mm
Step-by-step explanation:
C=πd
C=2πr
8.9=2πr
4.45=πr
13.98≈r
Therefore, the radius of the object is about 13.98 mm
The table above gives values of the function f at selected values of x. Which of the following statements must be true
Answers
On solving the provided question, we can say that the function's value
[tex]limx→4+f(x)=6limx→4+f(x)=6[/tex]
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function's value will be -
limx→4+f(x)
=6limx→4+f(x)
=6
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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?
[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]
[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]
[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]
[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.
MATH PLEASE I NEED ANSWER
Answers
180=12x+19+22x-9
Hope it helps
Is this a proper fraction, improper fraction, mixed number?
4/8
Answers
Answer:
proper fraction
Step-by-step explanation:
if it was a mixed numebr an example: 1 4/8 If it was a imroper fraction an example: 12/8
Answer:
Proper fraction
Step-by-step explanation:
Proper fraction - A fraction with a numerator less than the denominator; proper fractions are fractions less than a whole. Ex. 5/8Mixed number - A number with an integer and a proper fraction. Ex. 2 1/2Improper fraction - A number with a numerator large than the denominator; a fraction larger than a whole. Ex. 8/5What is the range of the data set please help out!
Answers
4 is the range of the data set in the given set.
What is range data set?The space between the highest and lowest values in a data collection is known as the range. Similar units to the data are used to quantify variability. Variability is increased with larger values. The range has several limitations but is the most straightforward statistical measure of dispersion to compute and comprehend.
This means that the range might alternatively be described as the distance between the highest and lowest observation.
In the given data set,
range = maximum frequency - minimum frequency
range = 5 - 1
range = 4
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URGENT. Please help me, I don’t know! What is the answer to this, PLS help this is really urgent !
Answers
Answer:
I'm sure it's
30 cm
Step-by-step explanation:
What are the domain and range of the logarithmic function?
Answers
The domain of a logarithm function is (0, ∞). The range of the logarithm function is all real numbers.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The given function is f(x) = log x.
When the value of x is less than or equal to 0, then the value of log x is undefined.
The possible value of x where f(x) exists is the domain of a function.
In the given function the value of x must be greater than zero.
The domain of the function is (0,∞).
log (0.1) = -1
log (0.023) = -1.638
The value of log x can be any real number.
The possible value of the logarithm function is any real number. Thus the range of the function is (-∞, ∞).
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Suppose f(x) − f(x+1) = 3x^2 and f(3) = 48, determine the value of f(5) show all steps so i can understand how you got to the answer! help please !!
Answers
Step-by-step explanation:
f(3) = 48
f(3)-f(4) = 3*3^2
f(4) = 21
f(4)-f(5) = 3*4^2
f(5) = -27